<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.

Equivalent Metric Units of Mass

Use and convert among milligrams, grams, and kilograms.

Atoms Practice
Estimated5 minsto complete
%
Progress
Practice Equivalent Metric Units of Mass
Practice
Progress
Estimated5 minsto complete
%
Practice Now
Equivalent Metric Units of Mass
License: CC BY-NC 3.0

Peter goes to the market looking to purchase a bag of sugar. The mass of 1 bag is 8 kg. How many grams of sugar are in the bag?

In this concept, you will learn to identify equivalent metric units of mass.

Equivalent Metric Units for Mass

The metric system is an international system of measurement that uses the base units of meter, kilograms, and seconds to measure length, mass, and time. Mass is measured using grams. One of the benefits of using metric units is the use of metric prefixes. The prefixes also represent powers of ten, which make finding equivalent units easy. Here are some of the metric units of mass.

Metric Unit kilogram hectogram dekagram gram decigram centigram milligram
Symbol kg hg dag g dg cg mg
Number 1,000 100 10 1 0.1 0.01 0.001

The most commonly used units of mass are kilogram, gram, and milligram.

Of the three units, the kilogram is the largest and the milligram is the smallest. The prefix “kilo” means a thousand and “milli” means one-thousandths. A gram is the basic unit of mass. You can use equivalent units of mass to convert different units to the same unit for comparison. Equivalent means equal.

1 kilogram is equal to 1,000 grams. 1 milligram is equal to one-thousandths of a gram.

\begin{align*}\begin{array}{rcl} 1 \ kilogram \ (kg) & = & 1,000 \ grams \ (g)\\ 1 \ milligram \ (mg) & = & 0.001 \ gram \ (g) \end{array}\end{align*}

Note that to convert a larger unit to a smaller unit, multiply by a power of ten to move the decimal to the right.

\begin{align*}1 \ kg \times 1,000 = 1,000 \ g\end{align*}

Multiply by 1000 to convert 1 gram to milligrams.

\begin{align*}1 \ g \times 1,000 = 1,000 \ mg\end{align*}

Also note that to convert a smaller unit to a larger unit, divide by a power of ten to move the decimal to the left.

\begin{align*}1 \ mg \div 1,000 = 0.001 \ g\end{align*}

Divide by 1000 to convert 1 gram to kilograms.

\begin{align*}1 \ g \div 1,000 = 0.001 \ kg\end{align*}

Now try to convert 1 kilogram to milligrams.

\begin{align*}1 \ kg = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ mg\end{align*}

You are converting a larger unit to a smaller unit, so multiply. You already know 1 kg equals 1,000 g.

\begin{align*}1 \ kg = 1,000 \ g = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ mg\end{align*}

Then, convert 1,000 grams to milligrams. Multiply the number of grams by 1,000 to convert grams to milligrams.

\begin{align*}1,000 \ g \times 1,000 = 1,000,000 \ mg\end{align*}

1 kilogram is equal to 1,000,000 milligram.

Examples

Example 1

Earlier, you were given a problem about Peter at the market.

Peter wants to know how many grams are in an 8 kg bag of sugar. Convert 8 kg to grams.

First, figure out if you are converting from a smaller unit to a larger or a larger unit to a smaller unit. You are converting kilograms to grams, which is a larger unit to a smaller unit. You will have to multiply.

Then, convert kilograms to grams. Multiply 8 by 1,000.

\begin{align*}8 \ kg \times 1,000 =8,000 \ g\end{align*}

There are 8,000 grams in 8 kilograms.

Example 2

Use the equivalent rates to convert units.

How many grams are in 18 kilograms?

First, figure out if you are converting from a smaller unit to a larger or a larger unit to a smaller unit. You are converting kilograms to grams, which is a larger unit to a smaller unit. You will have to multiply.

\begin{align*}18 \ kg = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ g\end{align*}

Then, multiply the number of kilograms by 1000 to convert kilograms to grams.

\begin{align*}18 \ kg \times 1,000 =18,000 \ g\end{align*}

There are 18,000 grams in 18 kilograms.

Convert each metric unit of mass to its equivalent.

Example 3

\begin{align*}6 \ kg = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ g\end{align*}

First, figure out if you are converting from a smaller unit to a larger or a larger unit to a smaller unit. You are converting kilograms to grams, which is a larger unit to a smaller unit. You will have to multiply.

Then, convert kilograms to grams. Multiply 6 times 1000.

\begin{align*}6 \ kg \times 1,000 =6,000 \ g\end{align*}

There are 6,000 grams in 6 kilograms.

Example 4

\begin{align*}3000 \ g = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ kg\end{align*}

First, figure out if you are converting from a smaller unit to a larger or a larger unit to a smaller unit. You are converting grams to kilograms, which is a smaller unit to a larger unit. You will have to divide.

Then, convert kilograms to grams. Divide 3,000 by 1000.

\begin{align*}3,000 \ g\div 1,000 = 3 \ kg\end{align*}

There are 3 kilograms in 3,000 grams.

Example 5

\begin{align*}4 \ g = \underline{\;\;\;\;\;\;\;\;\;\;\;\;} \ mg\end{align*}

First, figure out if you are converting from a smaller unit to a larger or a larger unit to a smaller unit. You are converting grams to milligrams, which is a larger unit to a smaller unit. You will have to multiply.

Then, convert grams to milligrams. Multiply 4 times 1000.

\begin{align*}4 \ g \times 1,000 =4,000 \ mg\end{align*}

There are 4,000 milligrams in 4 grams.

Review

Convert each metric unit of mass to its equivalent.

  1. 5 kg = _______ g
  2. 2000 g = _______ kg
  3. 2500 g = _______ kg
  4. 10 kg = _______ g
  5. 2000 mg = _______ g
  6. 30 g = _______ mg
  7. 4500 mg = _______ g
  8. 6.7 g = _______ mg
  9. 9 kg = _______ g
  10. 10 g = _______ kg
  11. 1 kg = _______ mg
  12. 5000 mg = _______ g
  13. 7500 g = _______ kg
  14. 8200 g = _______ kg
  15. 15 kg = _______ g
  16. 1600 g = _______ mg

Review (Answers)

To see the Review answers, open this PDF file and look for section 4.17. 

Resources

My Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Please to create your own Highlights / notes
Show More

Vocabulary

Customary System

The customary system is the measurement system commonly used in the United States, including: feet, inches, pounds, cups, gallons, etc.

Mass

Mass is a measurement of the amount of matter in an object.

Image Attributions

  1. [1]^ License: CC BY-NC 3.0

Explore More

Sign in to explore more, including practice questions and solutions for Equivalent Metric Units of Mass.
Please wait...
Please wait...